Details

sample56.0ms

Algorithm

intervals

Results

41.0ms

449×

body

valid

simplify22.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	46
3	46
2	35
1	17
0	9

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y y) (* x (+ x (* y 2.0))))
0.0b	(* x (+ x (* y 2.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `insert-posit16`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

12.0ms	(+ (* y y) (* x (+ x (* y 2.0))))
17.0ms	(* x (+ x (* y 2.0)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* y y) (* x (+ x (* y 2.0))))
49.0ms	(* x (+ x (* y 2.0)))

simplify1.2s

Counts

43 → 43

Iterations

Iter	Nodes
done	5003
2	1019
1	239
0	73

prune167.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y y) (* x x))
0.0b	(+ (+ (* y y) (* x x)) (* (* y 2.0) x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`
1×	`associate-+l+`

Counts

2 → 26

Calls

2 calls:

7.0ms	(+ (* y y) (* x x))
34.0ms	(+ (+ (* y y) (* x x)) (* (* y 2.0) x))

series71.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* y y) (* x x))
32.0ms	(+ (+ (* y y) (* x x)) (* (* y 2.0) x))

simplify2.8s

Counts

32 → 32

Iterations

Iter	Nodes
done	5002
3	4614
2	831
1	210
0	60

prune102.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x)))) (* (* y 2.0) x))
0.0b	(* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))))
6.8b	(sqrt (+ (* y y) (* x x)))
6.8b	(sqrt (+ (* y y) (* x x)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

24.0ms	(+ (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x)))) (* (* y 2.0) x))
32.0ms	(* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))))
13.0ms	(sqrt (+ (* y y) (* x x)))
9.0ms	(sqrt (+ (* y y) (* x x)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x)))) (* (* y 2.0) x))
37.0ms	(* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))))
50.0ms	(sqrt (+ (* y y) (* x x)))
44.0ms	(sqrt (+ (* y y) (* x x)))

simplify3.0s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
3	4279
2	911
1	261
0	115

prune397.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

6.8b	(sqrt (+ (* y y) (* x x)))
7.4b	(cbrt (+ (* y y) (* x x)))
7.4b	(cbrt (+ (* y y) (* x x)))
7.4b	(cbrt (+ (* y y) (* x x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-div`
5×	`pow1`
4×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 58

Calls

4 calls:

6.0ms	(sqrt (+ (* y y) (* x x)))
4.0ms	(cbrt (+ (* y y) (* x x)))
5.0ms	(cbrt (+ (* y y) (* x x)))
6.0ms	(cbrt (+ (* y y) (* x x)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(sqrt (+ (* y y) (* x x)))
123.0ms	(cbrt (+ (* y y) (* x x)))
99.0ms	(cbrt (+ (* y y) (* x x)))
95.0ms	(cbrt (+ (* y y) (* x x)))

simplify2.5s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
4	4267
3	1058
2	331
1	144
0	67

prune323.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	9

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.4s

14080×

body

valid